The insurance arm of the Royal Automobile Club of Tasmania (RACT Insurance) said it had already received a record number of claims, with 500 lodged by early Saturday afternoon, and more expected over the weekend.

The company said in a statement that it expected its claims bill could exceed $2 million.

Just over 1,400 homes were still without power early on Saturday morning, with about 645 in the north and east and the rest in the south.

Fears of a heavy deluge hitting the state's east coast overnight did not eventuate, although the rain continues to fall in the area, with readings of 63 millimetres at Gray, 52 millimetres at Mount Victoria, 41mm at St Helens, and 41mm at Fingal.

Calls for assistance were for mainly wind-related damage to roofs, downed trees, broken windows and associated water damage.

The SES's northern regional manager Mhairie Revie said for the most part, the north and east escaped the worst of the storms overnight.

"St Mary's, St Helen's, and Launceston were probably most affected," she said.

"[There were] losses in convenience to those that have suffered them, but small losses comparatively."

Conditions are easing for the weekend as the system moves across the state's east coast.

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